What is the Least Common Multiple of 70653 and 70671?

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 70653 and 70671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70653 and 70671, than apply into the LCM equation.

GCF(70653,70671) = 3
LCM(70653,70671) = ( 70653 × 70671) / 3
LCM(70653,70671) = 4993118163 / 3
LCM(70653,70671) = 1664372721

Least Common Multiple (LCM) of 70653 and 70671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70653 and 70671. First we will calculate the prime factors of 70653 and 70671.

Prime Factorization of 70653

Prime Factorization of 70671

Now multiplying the highest exponent prime factors to calculate the LCM of 70653 and 70671.

LCM(70653,70671) = 3¹ × 11¹ × 2141¹ × 23557¹
LCM(70653,70671) = 1664372721