What is the Least Common Multiple of 61614 and 61620?

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 61614 and 61620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61614 and 61620, than apply into the LCM equation.

GCF(61614,61620) = 6
LCM(61614,61620) = ( 61614 × 61620) / 6
LCM(61614,61620) = 3796654680 / 6
LCM(61614,61620) = 632775780

Least Common Multiple (LCM) of 61614 and 61620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61614 and 61620. First we will calculate the prime factors of 61614 and 61620.

Prime Factorization of 61614

Prime Factorization of 61620

Now multiplying the highest exponent prime factors to calculate the LCM of 61614 and 61620.

LCM(61614,61620) = 2² × 3³ × 7¹ × 163¹ × 5¹ × 13¹ × 79¹
LCM(61614,61620) = 632775780