What is the Least Common Multiple of 70640 and 70657?

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 70657 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 70657, than apply into the LCM equation.

GCF(70640,70657) = 1
LCM(70640,70657) = ( 70640 × 70657) / 1
LCM(70640,70657) = 4991210480 / 1
LCM(70640,70657) = 4991210480

Least Common Multiple (LCM) of 70640 and 70657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70640 and 70657. First we will calculate the prime factors of 70640 and 70657.

Prime Factorization of 70640

Prime Factorization of 70657

Now multiplying the highest exponent prime factors to calculate the LCM of 70640 and 70657.

LCM(70640,70657) = 2⁴ × 5¹ × 883¹ × 70657¹
LCM(70640,70657) = 4991210480