What is the Least Common Multiple of 24975 and 24984?

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 24975 and 24984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 24975 and 24984, than apply into the LCM equation.

GCF(24975,24984) = 9
LCM(24975,24984) = ( 24975 × 24984) / 9
LCM(24975,24984) = 623975400 / 9
LCM(24975,24984) = 69330600

Least Common Multiple (LCM) of 24975 and 24984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 24975 and 24984. First we will calculate the prime factors of 24975 and 24984.

Prime Factorization of 24975

Prime Factorization of 24984

Now multiplying the highest exponent prime factors to calculate the LCM of 24975 and 24984.

LCM(24975,24984) = 3³ × 5² × 37¹ × 2³ × 347¹
LCM(24975,24984) = 69330600