What is the Least Common Multiple of 92208 and 92220?

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 92208 and 92220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92208 and 92220, than apply into the LCM equation.

GCF(92208,92220) = 12
LCM(92208,92220) = ( 92208 × 92220) / 12
LCM(92208,92220) = 8503421760 / 12
LCM(92208,92220) = 708618480

Least Common Multiple (LCM) of 92208 and 92220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92208 and 92220. First we will calculate the prime factors of 92208 and 92220.

Prime Factorization of 92208

Prime Factorization of 92220

Now multiplying the highest exponent prime factors to calculate the LCM of 92208 and 92220.

LCM(92208,92220) = 2⁴ × 3¹ × 17¹ × 113¹ × 5¹ × 29¹ × 53¹
LCM(92208,92220) = 708618480