What is the Least Common Multiple of 61614 and 61628?

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 61628 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 61628, than apply into the LCM equation.

GCF(61614,61628) = 14
LCM(61614,61628) = ( 61614 × 61628) / 14
LCM(61614,61628) = 3797147592 / 14
LCM(61614,61628) = 271224828

Least Common Multiple (LCM) of 61614 and 61628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61614 and 61628. First we will calculate the prime factors of 61614 and 61628.

Prime Factorization of 61614

Prime Factorization of 61628

Now multiplying the highest exponent prime factors to calculate the LCM of 61614 and 61628.

LCM(61614,61628) = 2² × 3³ × 7¹ × 163¹ × 31¹ × 71¹
LCM(61614,61628) = 271224828