What is the Least Common Multiple of 61332 and 61351?

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 61332 and 61351 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61332 and 61351, than apply into the LCM equation.

GCF(61332,61351) = 19
LCM(61332,61351) = ( 61332 × 61351) / 19
LCM(61332,61351) = 3762779532 / 19
LCM(61332,61351) = 198041028

Least Common Multiple (LCM) of 61332 and 61351 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61332 and 61351. First we will calculate the prime factors of 61332 and 61351.

Prime Factorization of 61332

Prime Factorization of 61351

Now multiplying the highest exponent prime factors to calculate the LCM of 61332 and 61351.

LCM(61332,61351) = 2² × 3¹ × 19¹ × 269¹ × 3229¹
LCM(61332,61351) = 198041028