What is the Least Common Multiple of 99075 and 99092?

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 99075 and 99092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99075 and 99092, than apply into the LCM equation.

GCF(99075,99092) = 1
LCM(99075,99092) = ( 99075 × 99092) / 1
LCM(99075,99092) = 9817539900 / 1
LCM(99075,99092) = 9817539900

Least Common Multiple (LCM) of 99075 and 99092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99075 and 99092. First we will calculate the prime factors of 99075 and 99092.

Prime Factorization of 99075

Prime Factorization of 99092

Now multiplying the highest exponent prime factors to calculate the LCM of 99075 and 99092.

LCM(99075,99092) = 3¹ × 5² × 1321¹ × 2² × 7¹ × 3539¹
LCM(99075,99092) = 9817539900