What is the Least Common Multiple of 70628 and 70638?

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 70628 and 70638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70628 and 70638, than apply into the LCM equation.

GCF(70628,70638) = 2
LCM(70628,70638) = ( 70628 × 70638) / 2
LCM(70628,70638) = 4989020664 / 2
LCM(70628,70638) = 2494510332

Least Common Multiple (LCM) of 70628 and 70638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70628 and 70638. First we will calculate the prime factors of 70628 and 70638.

Prime Factorization of 70628

Prime Factorization of 70638

Now multiplying the highest exponent prime factors to calculate the LCM of 70628 and 70638.

LCM(70628,70638) = 2² × 17657¹ × 3¹ × 61¹ × 193¹
LCM(70628,70638) = 2494510332