What is the Least Common Multiple of 59235 and 59246?

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 59235 and 59246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59235 and 59246, than apply into the LCM equation.

GCF(59235,59246) = 11
LCM(59235,59246) = ( 59235 × 59246) / 11
LCM(59235,59246) = 3509436810 / 11
LCM(59235,59246) = 319039710

Least Common Multiple (LCM) of 59235 and 59246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59235 and 59246. First we will calculate the prime factors of 59235 and 59246.

Prime Factorization of 59235

Prime Factorization of 59246

Now multiplying the highest exponent prime factors to calculate the LCM of 59235 and 59246.

LCM(59235,59246) = 3¹ × 5¹ × 11¹ × 359¹ × 2¹ × 2693¹
LCM(59235,59246) = 319039710