What is the Least Common Multiple of 74740 and 74755?

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 74740 and 74755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74740 and 74755, than apply into the LCM equation.

GCF(74740,74755) = 5
LCM(74740,74755) = ( 74740 × 74755) / 5
LCM(74740,74755) = 5587188700 / 5
LCM(74740,74755) = 1117437740

Least Common Multiple (LCM) of 74740 and 74755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74740 and 74755. First we will calculate the prime factors of 74740 and 74755.

Prime Factorization of 74740

Prime Factorization of 74755

Now multiplying the highest exponent prime factors to calculate the LCM of 74740 and 74755.

LCM(74740,74755) = 2² × 5¹ × 37¹ × 101¹ × 14951¹
LCM(74740,74755) = 1117437740