What is the Least Common Multiple of 70092 and 70104?

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 70092 and 70104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70092 and 70104, than apply into the LCM equation.

GCF(70092,70104) = 12
LCM(70092,70104) = ( 70092 × 70104) / 12
LCM(70092,70104) = 4913729568 / 12
LCM(70092,70104) = 409477464

Least Common Multiple (LCM) of 70092 and 70104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70092 and 70104. First we will calculate the prime factors of 70092 and 70104.

Prime Factorization of 70092

Prime Factorization of 70104

Now multiplying the highest exponent prime factors to calculate the LCM of 70092 and 70104.

LCM(70092,70104) = 2³ × 3³ × 11¹ × 59¹ × 23¹ × 127¹
LCM(70092,70104) = 409477464