What is the Least Common Multiple of 71220 and 71237?

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 71220 and 71237 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71220 and 71237, than apply into the LCM equation.

GCF(71220,71237) = 1
LCM(71220,71237) = ( 71220 × 71237) / 1
LCM(71220,71237) = 5073499140 / 1
LCM(71220,71237) = 5073499140

Least Common Multiple (LCM) of 71220 and 71237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71220 and 71237. First we will calculate the prime factors of 71220 and 71237.

Prime Factorization of 71220

Prime Factorization of 71237

Now multiplying the highest exponent prime factors to calculate the LCM of 71220 and 71237.

LCM(71220,71237) = 2² × 3¹ × 5¹ × 1187¹ × 71237¹
LCM(71220,71237) = 5073499140