What is the Least Common Multiple of 59252 and 59262?

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 59252 and 59262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59252 and 59262, than apply into the LCM equation.

GCF(59252,59262) = 2
LCM(59252,59262) = ( 59252 × 59262) / 2
LCM(59252,59262) = 3511392024 / 2
LCM(59252,59262) = 1755696012

Least Common Multiple (LCM) of 59252 and 59262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59252 and 59262. First we will calculate the prime factors of 59252 and 59262.

Prime Factorization of 59252

Prime Factorization of 59262

Now multiplying the highest exponent prime factors to calculate the LCM of 59252 and 59262.

LCM(59252,59262) = 2² × 14813¹ × 3¹ × 7¹ × 17¹ × 83¹
LCM(59252,59262) = 1755696012