What is the Least Common Multiple of 89610 and 89619?

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 89610 and 89619 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89610 and 89619, than apply into the LCM equation.

GCF(89610,89619) = 3
LCM(89610,89619) = ( 89610 × 89619) / 3
LCM(89610,89619) = 8030758590 / 3
LCM(89610,89619) = 2676919530

Least Common Multiple (LCM) of 89610 and 89619 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89610 and 89619. First we will calculate the prime factors of 89610 and 89619.

Prime Factorization of 89610

Prime Factorization of 89619

Now multiplying the highest exponent prime factors to calculate the LCM of 89610 and 89619.

LCM(89610,89619) = 2¹ × 3¹ × 5¹ × 29¹ × 103¹ × 29873¹
LCM(89610,89619) = 2676919530