What is the Least Common Multiple of 71652 and 71662?

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 71652 and 71662 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71652 and 71662, than apply into the LCM equation.

GCF(71652,71662) = 2
LCM(71652,71662) = ( 71652 × 71662) / 2
LCM(71652,71662) = 5134725624 / 2
LCM(71652,71662) = 2567362812

Least Common Multiple (LCM) of 71652 and 71662 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71652 and 71662. First we will calculate the prime factors of 71652 and 71662.

Prime Factorization of 71652

Prime Factorization of 71662

Now multiplying the highest exponent prime factors to calculate the LCM of 71652 and 71662.

LCM(71652,71662) = 2² × 3¹ × 7¹ × 853¹ × 35831¹
LCM(71652,71662) = 2567362812