What is the Least Common Multiple of 52100 and 52104?

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 52100 and 52104 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52100 and 52104, than apply into the LCM equation.

GCF(52100,52104) = 4
LCM(52100,52104) = ( 52100 × 52104) / 4
LCM(52100,52104) = 2714618400 / 4
LCM(52100,52104) = 678654600

Least Common Multiple (LCM) of 52100 and 52104 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52100 and 52104. First we will calculate the prime factors of 52100 and 52104.

Prime Factorization of 52100

Prime Factorization of 52104

Now multiplying the highest exponent prime factors to calculate the LCM of 52100 and 52104.

LCM(52100,52104) = 2³ × 5² × 521¹ × 3¹ × 13¹ × 167¹
LCM(52100,52104) = 678654600