What is the Least Common Multiple of 42192 and 42200?

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 42192 and 42200 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42192 and 42200, than apply into the LCM equation.

GCF(42192,42200) = 8
LCM(42192,42200) = ( 42192 × 42200) / 8
LCM(42192,42200) = 1780502400 / 8
LCM(42192,42200) = 222562800

Least Common Multiple (LCM) of 42192 and 42200 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42192 and 42200. First we will calculate the prime factors of 42192 and 42200.

Prime Factorization of 42192

Prime Factorization of 42200

Now multiplying the highest exponent prime factors to calculate the LCM of 42192 and 42200.

LCM(42192,42200) = 2⁴ × 3² × 293¹ × 5² × 211¹
LCM(42192,42200) = 222562800