What is the Least Common Multiple of 70665 and 70684?

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 70665 and 70684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70665 and 70684, than apply into the LCM equation.

GCF(70665,70684) = 1
LCM(70665,70684) = ( 70665 × 70684) / 1
LCM(70665,70684) = 4994884860 / 1
LCM(70665,70684) = 4994884860

Least Common Multiple (LCM) of 70665 and 70684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70665 and 70684. First we will calculate the prime factors of 70665 and 70684.

Prime Factorization of 70665

Prime Factorization of 70684

Now multiplying the highest exponent prime factors to calculate the LCM of 70665 and 70684.

LCM(70665,70684) = 3¹ × 5¹ × 7¹ × 673¹ × 2² × 41¹ × 431¹
LCM(70665,70684) = 4994884860