What is the Least Common Multiple of 71415 and 71435?

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 71415 and 71435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71415 and 71435, than apply into the LCM equation.

GCF(71415,71435) = 5
LCM(71415,71435) = ( 71415 × 71435) / 5
LCM(71415,71435) = 5101530525 / 5
LCM(71415,71435) = 1020306105

Least Common Multiple (LCM) of 71415 and 71435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71415 and 71435. First we will calculate the prime factors of 71415 and 71435.

Prime Factorization of 71415

Prime Factorization of 71435

Now multiplying the highest exponent prime factors to calculate the LCM of 71415 and 71435.

LCM(71415,71435) = 3³ × 5¹ × 23² × 7¹ × 13¹ × 157¹
LCM(71415,71435) = 1020306105