GCF and LCM Calculator Logo

What is the Least Common Multiple of 77157 and 77162?

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 77157 and 77162 is 5953588434.

LCM(77157,77162) = 5953588434

LCM Calculator and
and

Least Common Multiple of 77157 and 77162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77157 and 77162, than apply into the LCM equation.

GCF(77157,77162) = 1
LCM(77157,77162) = ( 77157 × 77162) / 1
LCM(77157,77162) = 5953588434 / 1
LCM(77157,77162) = 5953588434

Least Common Multiple (LCM) of 77157 and 77162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77157 and 77162. First we will calculate the prime factors of 77157 and 77162.

Prime Factorization of 77157

Prime factors of 77157 are 3, 8573. Prime factorization of 77157 in exponential form is:

77157 = 32 × 85731

Prime Factorization of 77162

Prime factors of 77162 are 2, 41, 941. Prime factorization of 77162 in exponential form is:

77162 = 21 × 411 × 9411

Now multiplying the highest exponent prime factors to calculate the LCM of 77157 and 77162.

LCM(77157,77162) = 32 × 85731 × 21 × 411 × 9411
LCM(77157,77162) = 5953588434