What is the Least Common Multiple of 59632 and 59641?

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 59632 and 59641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59632 and 59641, than apply into the LCM equation.

GCF(59632,59641) = 1
LCM(59632,59641) = ( 59632 × 59641) / 1
LCM(59632,59641) = 3556512112 / 1
LCM(59632,59641) = 3556512112

Least Common Multiple (LCM) of 59632 and 59641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59632 and 59641. First we will calculate the prime factors of 59632 and 59641.

Prime Factorization of 59632

Prime Factorization of 59641

Now multiplying the highest exponent prime factors to calculate the LCM of 59632 and 59641.

LCM(59632,59641) = 2⁴ × 3727¹ × 19¹ × 43¹ × 73¹
LCM(59632,59641) = 3556512112