What is the Least Common Multiple of 53094 and 53100?

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 53094 and 53100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53094 and 53100, than apply into the LCM equation.

GCF(53094,53100) = 6
LCM(53094,53100) = ( 53094 × 53100) / 6
LCM(53094,53100) = 2819291400 / 6
LCM(53094,53100) = 469881900

Least Common Multiple (LCM) of 53094 and 53100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53094 and 53100. First we will calculate the prime factors of 53094 and 53100.

Prime Factorization of 53094

Prime Factorization of 53100

Now multiplying the highest exponent prime factors to calculate the LCM of 53094 and 53100.

LCM(53094,53100) = 2² × 3² × 8849¹ × 5² × 59¹
LCM(53094,53100) = 469881900