What is the Least Common Multiple of 67415 and 67435?

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 67415 and 67435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67415 and 67435, than apply into the LCM equation.

GCF(67415,67435) = 5
LCM(67415,67435) = ( 67415 × 67435) / 5
LCM(67415,67435) = 4546130525 / 5
LCM(67415,67435) = 909226105

Least Common Multiple (LCM) of 67415 and 67435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67415 and 67435. First we will calculate the prime factors of 67415 and 67435.

Prime Factorization of 67415

Prime Factorization of 67435

Now multiplying the highest exponent prime factors to calculate the LCM of 67415 and 67435.

LCM(67415,67435) = 5¹ × 97¹ × 139¹ × 13487¹
LCM(67415,67435) = 909226105