What is the Least Common Multiple of 77489 and 77499?

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 77489 and 77499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77489 and 77499, than apply into the LCM equation.

GCF(77489,77499) = 1
LCM(77489,77499) = ( 77489 × 77499) / 1
LCM(77489,77499) = 6005320011 / 1
LCM(77489,77499) = 6005320011

Least Common Multiple (LCM) of 77489 and 77499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77489 and 77499. First we will calculate the prime factors of 77489 and 77499.

Prime Factorization of 77489

Prime Factorization of 77499

Now multiplying the highest exponent prime factors to calculate the LCM of 77489 and 77499.

LCM(77489,77499) = 77489¹ × 3² × 79¹ × 109¹
LCM(77489,77499) = 6005320011