What is the Least Common Multiple of 30075 and 30092?

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 30075 and 30092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30075 and 30092, than apply into the LCM equation.

GCF(30075,30092) = 1
LCM(30075,30092) = ( 30075 × 30092) / 1
LCM(30075,30092) = 905016900 / 1
LCM(30075,30092) = 905016900

Least Common Multiple (LCM) of 30075 and 30092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30075 and 30092. First we will calculate the prime factors of 30075 and 30092.

Prime Factorization of 30075

Prime Factorization of 30092

Now multiplying the highest exponent prime factors to calculate the LCM of 30075 and 30092.

LCM(30075,30092) = 3¹ × 5² × 401¹ × 2² × 7523¹
LCM(30075,30092) = 905016900