What is the Least Common Multiple of 83152 and 83170?

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 83152 and 83170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83152 and 83170, than apply into the LCM equation.

GCF(83152,83170) = 2
LCM(83152,83170) = ( 83152 × 83170) / 2
LCM(83152,83170) = 6915751840 / 2
LCM(83152,83170) = 3457875920

Least Common Multiple (LCM) of 83152 and 83170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83152 and 83170. First we will calculate the prime factors of 83152 and 83170.

Prime Factorization of 83152

Prime Factorization of 83170

Now multiplying the highest exponent prime factors to calculate the LCM of 83152 and 83170.

LCM(83152,83170) = 2⁴ × 5197¹ × 5¹ × 8317¹
LCM(83152,83170) = 3457875920