What is the Least Common Multiple of 77369 and 77374?
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 77369 and 77374 is 5986349006.
LCM(77369,77374) = 5986349006
Least Common Multiple of 77369 and 77374 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77369 and 77374, than apply into the LCM equation.
GCF(77369,77374) = 1
LCM(77369,77374) = ( 77369 × 77374) / 1
LCM(77369,77374) = 5986349006 / 1
LCM(77369,77374) = 5986349006
Least Common Multiple (LCM) of 77369 and 77374 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77369 and 77374. First we will calculate the prime factors of 77369 and 77374.
Prime Factorization of 77369
Prime factors of 77369 are 77369. Prime factorization of 77369 in exponential form is:
77369 = 773691
Prime Factorization of 77374
Prime factors of 77374 are 2, 11, 3517. Prime factorization of 77374 in exponential form is:
77374 = 21 × 111 × 35171
Now multiplying the highest exponent prime factors to calculate the LCM of 77369 and 77374.
LCM(77369,77374) = 773691 × 21 × 111 × 35171
LCM(77369,77374) = 5986349006
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