What is the Least Common Multiple of 77328 and 77332?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 77328 and 77332 is 1494982224.
LCM(77328,77332) = 1494982224
Least Common Multiple of 77328 and 77332 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77328 and 77332, than apply into the LCM equation.
GCF(77328,77332) = 4
LCM(77328,77332) = ( 77328 × 77332) / 4
LCM(77328,77332) = 5979928896 / 4
LCM(77328,77332) = 1494982224
Least Common Multiple (LCM) of 77328 and 77332 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77328 and 77332. First we will calculate the prime factors of 77328 and 77332.
Prime Factorization of 77328
Prime factors of 77328 are 2, 3, 179. Prime factorization of 77328 in exponential form is:
77328 = 24 × 33 × 1791
Prime Factorization of 77332
Prime factors of 77332 are 2, 19333. Prime factorization of 77332 in exponential form is:
77332 = 22 × 193331
Now multiplying the highest exponent prime factors to calculate the LCM of 77328 and 77332.
LCM(77328,77332) = 24 × 33 × 1791 × 193331
LCM(77328,77332) = 1494982224
Related Least Common Multiples of 77328
- LCM of 77328 and 77332
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Related Least Common Multiples of 77332
- LCM of 77332 and 77336
- LCM of 77332 and 77337
- LCM of 77332 and 77338
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- LCM of 77332 and 77341
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- LCM of 77332 and 77343
- LCM of 77332 and 77344
- LCM of 77332 and 77345
- LCM of 77332 and 77346
- LCM of 77332 and 77347
- LCM of 77332 and 77348
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