What is the Least Common Multiple of 75735 and 75740?

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 75735 and 75740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75735 and 75740, than apply into the LCM equation.

GCF(75735,75740) = 5
LCM(75735,75740) = ( 75735 × 75740) / 5
LCM(75735,75740) = 5736168900 / 5
LCM(75735,75740) = 1147233780

Least Common Multiple (LCM) of 75735 and 75740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75735 and 75740. First we will calculate the prime factors of 75735 and 75740.

Prime Factorization of 75735

Prime Factorization of 75740

Now multiplying the highest exponent prime factors to calculate the LCM of 75735 and 75740.

LCM(75735,75740) = 3⁴ × 5¹ × 11¹ × 17¹ × 2² × 7¹ × 541¹
LCM(75735,75740) = 1147233780