What is the Least Common Multiple of 77627 and 77637?
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 77627 and 77637 is 6026727399.
LCM(77627,77637) = 6026727399
Least Common Multiple of 77627 and 77637 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77627 and 77637, than apply into the LCM equation.
GCF(77627,77637) = 1
LCM(77627,77637) = ( 77627 × 77637) / 1
LCM(77627,77637) = 6026727399 / 1
LCM(77627,77637) = 6026727399
Least Common Multiple (LCM) of 77627 and 77637 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77627 and 77637. First we will calculate the prime factors of 77627 and 77637.
Prime Factorization of 77627
Prime factors of 77627 are 11, 7057. Prime factorization of 77627 in exponential form is:
77627 = 111 × 70571
Prime Factorization of 77637
Prime factors of 77637 are 3, 7, 3697. Prime factorization of 77637 in exponential form is:
77637 = 31 × 71 × 36971
Now multiplying the highest exponent prime factors to calculate the LCM of 77627 and 77637.
LCM(77627,77637) = 111 × 70571 × 31 × 71 × 36971
LCM(77627,77637) = 6026727399
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