What is the Least Common Multiple of 70638 and 70654?

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 70638 and 70654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70638 and 70654, than apply into the LCM equation.

GCF(70638,70654) = 2
LCM(70638,70654) = ( 70638 × 70654) / 2
LCM(70638,70654) = 4990857252 / 2
LCM(70638,70654) = 2495428626

Least Common Multiple (LCM) of 70638 and 70654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70638 and 70654. First we will calculate the prime factors of 70638 and 70654.

Prime Factorization of 70638

Prime Factorization of 70654

Now multiplying the highest exponent prime factors to calculate the LCM of 70638 and 70654.

LCM(70638,70654) = 2¹ × 3¹ × 61¹ × 193¹ × 35327¹
LCM(70638,70654) = 2495428626