What is the Least Common Multiple of 10075 and 10092?

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 10075 and 10092 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10075 and 10092, than apply into the LCM equation.

GCF(10075,10092) = 1
LCM(10075,10092) = ( 10075 × 10092) / 1
LCM(10075,10092) = 101676900 / 1
LCM(10075,10092) = 101676900

Least Common Multiple (LCM) of 10075 and 10092 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10075 and 10092. First we will calculate the prime factors of 10075 and 10092.

Prime Factorization of 10075

Prime Factorization of 10092

Now multiplying the highest exponent prime factors to calculate the LCM of 10075 and 10092.

LCM(10075,10092) = 5² × 13¹ × 31¹ × 2² × 3¹ × 29²
LCM(10075,10092) = 101676900