What is the Least Common Multiple of 63245 and 63265?

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 63245 and 63265 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63245 and 63265, than apply into the LCM equation.

GCF(63245,63265) = 5
LCM(63245,63265) = ( 63245 × 63265) / 5
LCM(63245,63265) = 4001194925 / 5
LCM(63245,63265) = 800238985

Least Common Multiple (LCM) of 63245 and 63265 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63245 and 63265. First we will calculate the prime factors of 63245 and 63265.

Prime Factorization of 63245

Prime Factorization of 63265

Now multiplying the highest exponent prime factors to calculate the LCM of 63245 and 63265.

LCM(63245,63265) = 5¹ × 7¹ × 13¹ × 139¹ × 12653¹
LCM(63245,63265) = 800238985