What is the Least Common Multiple of 45210 and 45230?

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 45210 and 45230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45210 and 45230, than apply into the LCM equation.

GCF(45210,45230) = 10
LCM(45210,45230) = ( 45210 × 45230) / 10
LCM(45210,45230) = 2044848300 / 10
LCM(45210,45230) = 204484830

Least Common Multiple (LCM) of 45210 and 45230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45210 and 45230. First we will calculate the prime factors of 45210 and 45230.

Prime Factorization of 45210

Prime Factorization of 45230

Now multiplying the highest exponent prime factors to calculate the LCM of 45210 and 45230.

LCM(45210,45230) = 2¹ × 3¹ × 5¹ × 11¹ × 137¹ × 4523¹
LCM(45210,45230) = 204484830