What is the Least Common Multiple of 36237 and 36253?

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 36237 and 36253 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36237 and 36253, than apply into the LCM equation.

GCF(36237,36253) = 1
LCM(36237,36253) = ( 36237 × 36253) / 1
LCM(36237,36253) = 1313699961 / 1
LCM(36237,36253) = 1313699961

Least Common Multiple (LCM) of 36237 and 36253 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36237 and 36253. First we will calculate the prime factors of 36237 and 36253.

Prime Factorization of 36237

Prime Factorization of 36253

Now multiplying the highest exponent prime factors to calculate the LCM of 36237 and 36253.

LCM(36237,36253) = 3¹ × 47¹ × 257¹ × 7¹ × 5179¹
LCM(36237,36253) = 1313699961