What is the Least Common Multiple of 77489 and 77495?

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 77495 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 77495, than apply into the LCM equation.

GCF(77489,77495) = 1
LCM(77489,77495) = ( 77489 × 77495) / 1
LCM(77489,77495) = 6005010055 / 1
LCM(77489,77495) = 6005010055

Least Common Multiple (LCM) of 77489 and 77495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77489 and 77495. First we will calculate the prime factors of 77489 and 77495.

Prime Factorization of 77489

Prime Factorization of 77495

Now multiplying the highest exponent prime factors to calculate the LCM of 77489 and 77495.

LCM(77489,77495) = 77489¹ × 5¹ × 11¹ × 1409¹
LCM(77489,77495) = 6005010055