What is the Least Common Multiple of 61734 and 61740?

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 61734 and 61740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61734 and 61740, than apply into the LCM equation.

GCF(61734,61740) = 6
LCM(61734,61740) = ( 61734 × 61740) / 6
LCM(61734,61740) = 3811457160 / 6
LCM(61734,61740) = 635242860

Least Common Multiple (LCM) of 61734 and 61740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61734 and 61740. First we will calculate the prime factors of 61734 and 61740.

Prime Factorization of 61734

Prime Factorization of 61740

Now multiplying the highest exponent prime factors to calculate the LCM of 61734 and 61740.

LCM(61734,61740) = 2² × 3² × 10289¹ × 5¹ × 7³
LCM(61734,61740) = 635242860