What is the Least Common Multiple of 92100 and 92105?

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 92100 and 92105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92100 and 92105, than apply into the LCM equation.

GCF(92100,92105) = 5
LCM(92100,92105) = ( 92100 × 92105) / 5
LCM(92100,92105) = 8482870500 / 5
LCM(92100,92105) = 1696574100

Least Common Multiple (LCM) of 92100 and 92105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92100 and 92105. First we will calculate the prime factors of 92100 and 92105.

Prime Factorization of 92100

Prime Factorization of 92105

Now multiplying the highest exponent prime factors to calculate the LCM of 92100 and 92105.

LCM(92100,92105) = 2² × 3¹ × 5² × 307¹ × 13² × 109¹
LCM(92100,92105) = 1696574100