What is the Least Common Multiple of 59685 and 59704?

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 59685 and 59704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59685 and 59704, than apply into the LCM equation.

GCF(59685,59704) = 1
LCM(59685,59704) = ( 59685 × 59704) / 1
LCM(59685,59704) = 3563433240 / 1
LCM(59685,59704) = 3563433240

Least Common Multiple (LCM) of 59685 and 59704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59685 and 59704. First we will calculate the prime factors of 59685 and 59704.

Prime Factorization of 59685

Prime Factorization of 59704

Now multiplying the highest exponent prime factors to calculate the LCM of 59685 and 59704.

LCM(59685,59704) = 3¹ × 5¹ × 23¹ × 173¹ × 2³ × 17¹ × 439¹
LCM(59685,59704) = 3563433240