What is the Least Common Multiple of 67740 and 67756?

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 67740 and 67756 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67740 and 67756, than apply into the LCM equation.

GCF(67740,67756) = 4
LCM(67740,67756) = ( 67740 × 67756) / 4
LCM(67740,67756) = 4589791440 / 4
LCM(67740,67756) = 1147447860

Least Common Multiple (LCM) of 67740 and 67756 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67740 and 67756. First we will calculate the prime factors of 67740 and 67756.

Prime Factorization of 67740

Prime Factorization of 67756

Now multiplying the highest exponent prime factors to calculate the LCM of 67740 and 67756.

LCM(67740,67756) = 2² × 3¹ × 5¹ × 1129¹ × 13¹ × 1303¹
LCM(67740,67756) = 1147447860