What is the Least Common Multiple of 70800 and 70815?

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 70800 and 70815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70800 and 70815, than apply into the LCM equation.

GCF(70800,70815) = 15
LCM(70800,70815) = ( 70800 × 70815) / 15
LCM(70800,70815) = 5013702000 / 15
LCM(70800,70815) = 334246800

Least Common Multiple (LCM) of 70800 and 70815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70800 and 70815. First we will calculate the prime factors of 70800 and 70815.

Prime Factorization of 70800

Prime Factorization of 70815

Now multiplying the highest exponent prime factors to calculate the LCM of 70800 and 70815.

LCM(70800,70815) = 2⁴ × 3¹ × 5² × 59¹ × 4721¹
LCM(70800,70815) = 334246800