What is the Least Common Multiple of 61647 and 61659?

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 61647 and 61659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61647 and 61659, than apply into the LCM equation.

GCF(61647,61659) = 3
LCM(61647,61659) = ( 61647 × 61659) / 3
LCM(61647,61659) = 3801092373 / 3
LCM(61647,61659) = 1267030791

Least Common Multiple (LCM) of 61647 and 61659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61647 and 61659. First we will calculate the prime factors of 61647 and 61659.

Prime Factorization of 61647

Prime Factorization of 61659

Now multiplying the highest exponent prime factors to calculate the LCM of 61647 and 61659.

LCM(61647,61659) = 3² × 20549¹ × 13¹ × 17¹ × 31¹
LCM(61647,61659) = 1267030791