What is the Least Common Multiple of 71724 and 71740?

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 71724 and 71740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71724 and 71740, than apply into the LCM equation.

GCF(71724,71740) = 4
LCM(71724,71740) = ( 71724 × 71740) / 4
LCM(71724,71740) = 5145479760 / 4
LCM(71724,71740) = 1286369940

Least Common Multiple (LCM) of 71724 and 71740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71724 and 71740. First we will calculate the prime factors of 71724 and 71740.

Prime Factorization of 71724

Prime Factorization of 71740

Now multiplying the highest exponent prime factors to calculate the LCM of 71724 and 71740.

LCM(71724,71740) = 2² × 3¹ × 43¹ × 139¹ × 5¹ × 17¹ × 211¹
LCM(71724,71740) = 1286369940