What is the Least Common Multiple of 53070 and 53074?

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 53070 and 53074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53070 and 53074, than apply into the LCM equation.

GCF(53070,53074) = 2
LCM(53070,53074) = ( 53070 × 53074) / 2
LCM(53070,53074) = 2816637180 / 2
LCM(53070,53074) = 1408318590

Least Common Multiple (LCM) of 53070 and 53074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53070 and 53074. First we will calculate the prime factors of 53070 and 53074.

Prime Factorization of 53070

Prime Factorization of 53074

Now multiplying the highest exponent prime factors to calculate the LCM of 53070 and 53074.

LCM(53070,53074) = 2¹ × 3¹ × 5¹ × 29¹ × 61¹ × 7¹ × 17¹ × 223¹
LCM(53070,53074) = 1408318590