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What is the Least Common Multiple of 77960 and 77964?

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 77964 is 1519518360.

LCM(77960,77964) = 1519518360

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Least Common Multiple of 77960 and 77964 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 77964, than apply into the LCM equation.

GCF(77960,77964) = 4
LCM(77960,77964) = ( 77960 × 77964) / 4
LCM(77960,77964) = 6078073440 / 4
LCM(77960,77964) = 1519518360

Least Common Multiple (LCM) of 77960 and 77964 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77960 and 77964. First we will calculate the prime factors of 77960 and 77964.

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 77964

Prime factors of 77964 are 2, 3, 73, 89. Prime factorization of 77964 in exponential form is:

77964 = 22 × 31 × 731 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 77960 and 77964.

LCM(77960,77964) = 23 × 51 × 19491 × 31 × 731 × 891
LCM(77960,77964) = 1519518360