What is the Least Common Multiple of 80070 and 80074?

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 80070 and 80074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80070 and 80074, than apply into the LCM equation.

GCF(80070,80074) = 2
LCM(80070,80074) = ( 80070 × 80074) / 2
LCM(80070,80074) = 6411525180 / 2
LCM(80070,80074) = 3205762590

Least Common Multiple (LCM) of 80070 and 80074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80070 and 80074. First we will calculate the prime factors of 80070 and 80074.

Prime Factorization of 80070

Prime Factorization of 80074

Now multiplying the highest exponent prime factors to calculate the LCM of 80070 and 80074.

LCM(80070,80074) = 2¹ × 3¹ × 5¹ × 17¹ × 157¹ × 40037¹
LCM(80070,80074) = 3205762590