What is the Least Common Multiple of 59241 and 59253?

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 59241 and 59253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59241 and 59253, than apply into the LCM equation.

GCF(59241,59253) = 3
LCM(59241,59253) = ( 59241 × 59253) / 3
LCM(59241,59253) = 3510206973 / 3
LCM(59241,59253) = 1170068991

Least Common Multiple (LCM) of 59241 and 59253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59241 and 59253. First we will calculate the prime factors of 59241 and 59253.

Prime Factorization of 59241

Prime Factorization of 59253

Now multiplying the highest exponent prime factors to calculate the LCM of 59241 and 59253.

LCM(59241,59253) = 3¹ × 7² × 13¹ × 31¹ × 19751¹
LCM(59241,59253) = 1170068991