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What is the Least Common Multiple of 77960 and 77977?

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 77960 and 77977 is 6079086920.

LCM(77960,77977) = 6079086920

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Least Common Multiple of 77960 and 77977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77960 and 77977, than apply into the LCM equation.

GCF(77960,77977) = 1
LCM(77960,77977) = ( 77960 × 77977) / 1
LCM(77960,77977) = 6079086920 / 1
LCM(77960,77977) = 6079086920

Least Common Multiple (LCM) of 77960 and 77977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77960 and 77977. First we will calculate the prime factors of 77960 and 77977.

Prime Factorization of 77960

Prime factors of 77960 are 2, 5, 1949. Prime factorization of 77960 in exponential form is:

77960 = 23 × 51 × 19491

Prime Factorization of 77977

Prime factors of 77977 are 77977. Prime factorization of 77977 in exponential form is:

77977 = 779771

Now multiplying the highest exponent prime factors to calculate the LCM of 77960 and 77977.

LCM(77960,77977) = 23 × 51 × 19491 × 779771
LCM(77960,77977) = 6079086920