What is the Least Common Multiple of 73740 and 73758?

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 73740 and 73758 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73740 and 73758, than apply into the LCM equation.

GCF(73740,73758) = 6
LCM(73740,73758) = ( 73740 × 73758) / 6
LCM(73740,73758) = 5438914920 / 6
LCM(73740,73758) = 906485820

Least Common Multiple (LCM) of 73740 and 73758 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73740 and 73758. First we will calculate the prime factors of 73740 and 73758.

Prime Factorization of 73740

Prime Factorization of 73758

Now multiplying the highest exponent prime factors to calculate the LCM of 73740 and 73758.

LCM(73740,73758) = 2² × 3¹ × 5¹ × 1229¹ × 19¹ × 647¹
LCM(73740,73758) = 906485820