What is the Least Common Multiple of 77609 and 77623?

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 of 77609 and 77623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77609 and 77623, than apply into the LCM equation.

GCF(77609,77623) = 7
LCM(77609,77623) = ( 77609 × 77623) / 7
LCM(77609,77623) = 6024243407 / 7
LCM(77609,77623) = 860606201

Least Common Multiple (LCM) of 77609 and 77623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77609 and 77623. First we will calculate the prime factors of 77609 and 77623.

Prime Factorization of 77609

Prime Factorization of 77623

Now multiplying the highest exponent prime factors to calculate the LCM of 77609 and 77623.

LCM(77609,77623) = 7¹ × 11087¹ × 13¹ × 853¹
LCM(77609,77623) = 860606201