What is the Least Common Multiple of 71209 and 71220?

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 71209 and 71220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71209 and 71220, than apply into the LCM equation.

GCF(71209,71220) = 1
LCM(71209,71220) = ( 71209 × 71220) / 1
LCM(71209,71220) = 5071504980 / 1
LCM(71209,71220) = 5071504980

Least Common Multiple (LCM) of 71209 and 71220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71209 and 71220. First we will calculate the prime factors of 71209 and 71220.

Prime Factorization of 71209

Prime Factorization of 71220

Now multiplying the highest exponent prime factors to calculate the LCM of 71209 and 71220.

LCM(71209,71220) = 71209¹ × 2² × 3¹ × 5¹ × 1187¹
LCM(71209,71220) = 5071504980