What is the Least Common Multiple of 83652 and 83660?

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 83652 and 83660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83652 and 83660, than apply into the LCM equation.

GCF(83652,83660) = 4
LCM(83652,83660) = ( 83652 × 83660) / 4
LCM(83652,83660) = 6998326320 / 4
LCM(83652,83660) = 1749581580

Least Common Multiple (LCM) of 83652 and 83660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83652 and 83660. First we will calculate the prime factors of 83652 and 83660.

Prime Factorization of 83652

Prime Factorization of 83660

Now multiplying the highest exponent prime factors to calculate the LCM of 83652 and 83660.

LCM(83652,83660) = 2² × 3¹ × 6971¹ × 5¹ × 47¹ × 89¹
LCM(83652,83660) = 1749581580