What is the Least Common Multiple of 89492 and 89499?

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 89492 and 89499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89492 and 89499, than apply into the LCM equation.

GCF(89492,89499) = 1
LCM(89492,89499) = ( 89492 × 89499) / 1
LCM(89492,89499) = 8009444508 / 1
LCM(89492,89499) = 8009444508

Least Common Multiple (LCM) of 89492 and 89499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89492 and 89499. First we will calculate the prime factors of 89492 and 89499.

Prime Factorization of 89492

Prime Factorization of 89499

Now multiplying the highest exponent prime factors to calculate the LCM of 89492 and 89499.

LCM(89492,89499) = 2² × 13¹ × 1721¹ × 3¹ × 29833¹
LCM(89492,89499) = 8009444508