What is the Least Common Multiple of 71420 and 71436?

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 71420 and 71436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71420 and 71436, than apply into the LCM equation.

GCF(71420,71436) = 4
LCM(71420,71436) = ( 71420 × 71436) / 4
LCM(71420,71436) = 5101959120 / 4
LCM(71420,71436) = 1275489780

Least Common Multiple (LCM) of 71420 and 71436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71420 and 71436. First we will calculate the prime factors of 71420 and 71436.

Prime Factorization of 71420

Prime Factorization of 71436

Now multiplying the highest exponent prime factors to calculate the LCM of 71420 and 71436.

LCM(71420,71436) = 2² × 5¹ × 3571¹ × 3¹ × 5953¹
LCM(71420,71436) = 1275489780