GCF and LCM Calculator Logo

What is the Least Common Multiple of 77957 and 77975?

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 77957 and 77975 is 6078697075.

LCM(77957,77975) = 6078697075

LCM Calculator and
and

Least Common Multiple of 77957 and 77975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77957 and 77975, than apply into the LCM equation.

GCF(77957,77975) = 1
LCM(77957,77975) = ( 77957 × 77975) / 1
LCM(77957,77975) = 6078697075 / 1
LCM(77957,77975) = 6078697075

Least Common Multiple (LCM) of 77957 and 77975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77957 and 77975. First we will calculate the prime factors of 77957 and 77975.

Prime Factorization of 77957

Prime factors of 77957 are 11, 19, 373. Prime factorization of 77957 in exponential form is:

77957 = 111 × 191 × 3731

Prime Factorization of 77975

Prime factors of 77975 are 5, 3119. Prime factorization of 77975 in exponential form is:

77975 = 52 × 31191

Now multiplying the highest exponent prime factors to calculate the LCM of 77957 and 77975.

LCM(77957,77975) = 111 × 191 × 3731 × 52 × 31191
LCM(77957,77975) = 6078697075