What is the Least Common Multiple of 61734 and 61749?

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 61749 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 61749, than apply into the LCM equation.

GCF(61734,61749) = 3
LCM(61734,61749) = ( 61734 × 61749) / 3
LCM(61734,61749) = 3812012766 / 3
LCM(61734,61749) = 1270670922

Least Common Multiple (LCM) of 61734 and 61749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61734 and 61749. First we will calculate the prime factors of 61734 and 61749.

Prime Factorization of 61734

Prime Factorization of 61749

Now multiplying the highest exponent prime factors to calculate the LCM of 61734 and 61749.

LCM(61734,61749) = 2¹ × 3³ × 10289¹ × 2287¹
LCM(61734,61749) = 1270670922