What is the Least Common Multiple of 61668 and 61678?

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 61668 and 61678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61668 and 61678, than apply into the LCM equation.

GCF(61668,61678) = 2
LCM(61668,61678) = ( 61668 × 61678) / 2
LCM(61668,61678) = 3803558904 / 2
LCM(61668,61678) = 1901779452

Least Common Multiple (LCM) of 61668 and 61678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61668 and 61678. First we will calculate the prime factors of 61668 and 61678.

Prime Factorization of 61668

Prime Factorization of 61678

Now multiplying the highest exponent prime factors to calculate the LCM of 61668 and 61678.

LCM(61668,61678) = 2² × 3³ × 571¹ × 30839¹
LCM(61668,61678) = 1901779452