What is the Least Common Multiple of 74000 and 74006?

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 74000 and 74006 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74000 and 74006, than apply into the LCM equation.

GCF(74000,74006) = 2
LCM(74000,74006) = ( 74000 × 74006) / 2
LCM(74000,74006) = 5476444000 / 2
LCM(74000,74006) = 2738222000

Least Common Multiple (LCM) of 74000 and 74006 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74000 and 74006. First we will calculate the prime factors of 74000 and 74006.

Prime Factorization of 74000

Prime Factorization of 74006

Now multiplying the highest exponent prime factors to calculate the LCM of 74000 and 74006.

LCM(74000,74006) = 2⁴ × 5³ × 37¹ × 37003¹
LCM(74000,74006) = 2738222000