GCF and LCM Calculator Logo

What is the Least Common Multiple of 77960 and 77980?

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 77980 is 303966040.

LCM(77960,77980) = 303966040

LCM Calculator and
and

Least Common Multiple of 77960 and 77980 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 77980, than apply into the LCM equation.

GCF(77960,77980) = 20
LCM(77960,77980) = ( 77960 × 77980) / 20
LCM(77960,77980) = 6079320800 / 20
LCM(77960,77980) = 303966040

Least Common Multiple (LCM) of 77960 and 77980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77960 and 77980. First we will calculate the prime factors of 77960 and 77980.

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 77980

Prime factors of 77980 are 2, 5, 7, 557. Prime factorization of 77980 in exponential form is:

77980 = 22 × 51 × 71 × 5571

Now multiplying the highest exponent prime factors to calculate the LCM of 77960 and 77980.

LCM(77960,77980) = 23 × 51 × 19491 × 71 × 5571
LCM(77960,77980) = 303966040