GCF and LCM Calculator Logo

What is the Least Common Multiple of 77026 and 77045?

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 77026 and 77045 is 312340430.

LCM(77026,77045) = 312340430

LCM Calculator and
and

Least Common Multiple of 77026 and 77045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77026 and 77045, than apply into the LCM equation.

GCF(77026,77045) = 19
LCM(77026,77045) = ( 77026 × 77045) / 19
LCM(77026,77045) = 5934468170 / 19
LCM(77026,77045) = 312340430

Least Common Multiple (LCM) of 77026 and 77045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77026 and 77045. First we will calculate the prime factors of 77026 and 77045.

Prime Factorization of 77026

Prime factors of 77026 are 2, 19, 2027. Prime factorization of 77026 in exponential form is:

77026 = 21 × 191 × 20271

Prime Factorization of 77045

Prime factors of 77045 are 5, 19, 811. Prime factorization of 77045 in exponential form is:

77045 = 51 × 191 × 8111

Now multiplying the highest exponent prime factors to calculate the LCM of 77026 and 77045.

LCM(77026,77045) = 21 × 191 × 20271 × 51 × 8111
LCM(77026,77045) = 312340430