What is the Least Common Multiple of 61971 and 61984?

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 61971 and 61984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61971 and 61984, than apply into the LCM equation.

GCF(61971,61984) = 13
LCM(61971,61984) = ( 61971 × 61984) / 13
LCM(61971,61984) = 3841210464 / 13
LCM(61971,61984) = 295477728

Least Common Multiple (LCM) of 61971 and 61984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61971 and 61984. First we will calculate the prime factors of 61971 and 61984.

Prime Factorization of 61971

Prime Factorization of 61984

Now multiplying the highest exponent prime factors to calculate the LCM of 61971 and 61984.

LCM(61971,61984) = 3¹ × 7¹ × 13¹ × 227¹ × 2⁵ × 149¹
LCM(61971,61984) = 295477728