What is the Least Common Multiple of 70650 and 70670?

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 70650 and 70670 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70650 and 70670, than apply into the LCM equation.

GCF(70650,70670) = 10
LCM(70650,70670) = ( 70650 × 70670) / 10
LCM(70650,70670) = 4992835500 / 10
LCM(70650,70670) = 499283550

Least Common Multiple (LCM) of 70650 and 70670 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70650 and 70670. First we will calculate the prime factors of 70650 and 70670.

Prime Factorization of 70650

Prime Factorization of 70670

Now multiplying the highest exponent prime factors to calculate the LCM of 70650 and 70670.

LCM(70650,70670) = 2¹ × 3² × 5² × 157¹ × 37¹ × 191¹
LCM(70650,70670) = 499283550