What is the Least Common Multiple of 70640 and 70645?

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 70640 and 70645 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70640 and 70645, than apply into the LCM equation.

GCF(70640,70645) = 5
LCM(70640,70645) = ( 70640 × 70645) / 5
LCM(70640,70645) = 4990362800 / 5
LCM(70640,70645) = 998072560

Least Common Multiple (LCM) of 70640 and 70645 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70640 and 70645. First we will calculate the prime factors of 70640 and 70645.

Prime Factorization of 70640

Prime Factorization of 70645

Now multiplying the highest exponent prime factors to calculate the LCM of 70640 and 70645.

LCM(70640,70645) = 2⁴ × 5¹ × 883¹ × 71¹ × 199¹
LCM(70640,70645) = 998072560