What is the Least Common Multiple of 77349 and 77354?
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 77349 and 77354 is 5983254546.
LCM(77349,77354) = 5983254546
Least Common Multiple of 77349 and 77354 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77349 and 77354, than apply into the LCM equation.
GCF(77349,77354) = 1
LCM(77349,77354) = ( 77349 × 77354) / 1
LCM(77349,77354) = 5983254546 / 1
LCM(77349,77354) = 5983254546
Least Common Multiple (LCM) of 77349 and 77354 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77349 and 77354. First we will calculate the prime factors of 77349 and 77354.
Prime Factorization of 77349
Prime factors of 77349 are 3, 19, 23, 59. Prime factorization of 77349 in exponential form is:
77349 = 31 × 191 × 231 × 591
Prime Factorization of 77354
Prime factors of 77354 are 2, 38677. Prime factorization of 77354 in exponential form is:
77354 = 21 × 386771
Now multiplying the highest exponent prime factors to calculate the LCM of 77349 and 77354.
LCM(77349,77354) = 31 × 191 × 231 × 591 × 21 × 386771
LCM(77349,77354) = 5983254546
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