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What is the Least Common Multiple of 77960 and 77978?

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 77978 is 3039582440.

LCM(77960,77978) = 3039582440

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Least Common Multiple of 77960 and 77978 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 77978, than apply into the LCM equation.

GCF(77960,77978) = 2
LCM(77960,77978) = ( 77960 × 77978) / 2
LCM(77960,77978) = 6079164880 / 2
LCM(77960,77978) = 3039582440

Least Common Multiple (LCM) of 77960 and 77978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77960 and 77978. First we will calculate the prime factors of 77960 and 77978.

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 77978

Prime factors of 77978 are 2, 127, 307. Prime factorization of 77978 in exponential form is:

77978 = 21 × 1271 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 77960 and 77978.

LCM(77960,77978) = 23 × 51 × 19491 × 1271 × 3071
LCM(77960,77978) = 3039582440