What is the Least Common Multiple of 60740 and 60747?

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 60740 and 60747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60740 and 60747, than apply into the LCM equation.

GCF(60740,60747) = 1
LCM(60740,60747) = ( 60740 × 60747) / 1
LCM(60740,60747) = 3689772780 / 1
LCM(60740,60747) = 3689772780

Least Common Multiple (LCM) of 60740 and 60747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60740 and 60747. First we will calculate the prime factors of 60740 and 60747.

Prime Factorization of 60740

Prime Factorization of 60747

Now multiplying the highest exponent prime factors to calculate the LCM of 60740 and 60747.

LCM(60740,60747) = 2² × 5¹ × 3037¹ × 3¹ × 20249¹
LCM(60740,60747) = 3689772780