What is the Least Common Multiple of 83475 and 83492?

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 83475 and 83492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83475 and 83492, than apply into the LCM equation.

GCF(83475,83492) = 1
LCM(83475,83492) = ( 83475 × 83492) / 1
LCM(83475,83492) = 6969494700 / 1
LCM(83475,83492) = 6969494700

Least Common Multiple (LCM) of 83475 and 83492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83475 and 83492. First we will calculate the prime factors of 83475 and 83492.

Prime Factorization of 83475

Prime Factorization of 83492

Now multiplying the highest exponent prime factors to calculate the LCM of 83475 and 83492.

LCM(83475,83492) = 3² × 5² × 7¹ × 53¹ × 2² × 20873¹
LCM(83475,83492) = 6969494700