What is the Least Common Multiple of 53100 and 53104?

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 53100 and 53104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53100 and 53104, than apply into the LCM equation.

GCF(53100,53104) = 4
LCM(53100,53104) = ( 53100 × 53104) / 4
LCM(53100,53104) = 2819822400 / 4
LCM(53100,53104) = 704955600

Least Common Multiple (LCM) of 53100 and 53104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53100 and 53104. First we will calculate the prime factors of 53100 and 53104.

Prime Factorization of 53100

Prime Factorization of 53104

Now multiplying the highest exponent prime factors to calculate the LCM of 53100 and 53104.

LCM(53100,53104) = 2⁴ × 3² × 5² × 59¹ × 3319¹
LCM(53100,53104) = 704955600