What is the Least Common Multiple of 71224 and 71230?

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 71224 and 71230 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71224 and 71230, than apply into the LCM equation.

GCF(71224,71230) = 2
LCM(71224,71230) = ( 71224 × 71230) / 2
LCM(71224,71230) = 5073285520 / 2
LCM(71224,71230) = 2536642760

Least Common Multiple (LCM) of 71224 and 71230 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71224 and 71230. First we will calculate the prime factors of 71224 and 71230.

Prime Factorization of 71224

Prime Factorization of 71230

Now multiplying the highest exponent prime factors to calculate the LCM of 71224 and 71230.

LCM(71224,71230) = 2³ × 29¹ × 307¹ × 5¹ × 17¹ × 419¹
LCM(71224,71230) = 2536642760