What is the Least Common Multiple of 42975 and 42984?

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 42975 and 42984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42975 and 42984, than apply into the LCM equation.

GCF(42975,42984) = 9
LCM(42975,42984) = ( 42975 × 42984) / 9
LCM(42975,42984) = 1847237400 / 9
LCM(42975,42984) = 205248600

Least Common Multiple (LCM) of 42975 and 42984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42975 and 42984. First we will calculate the prime factors of 42975 and 42984.

Prime Factorization of 42975

Prime Factorization of 42984

Now multiplying the highest exponent prime factors to calculate the LCM of 42975 and 42984.

LCM(42975,42984) = 3³ × 5² × 191¹ × 2³ × 199¹
LCM(42975,42984) = 205248600