What is the Least Common Multiple of 38415 and 38435?

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 38415 and 38435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38415 and 38435, than apply into the LCM equation.

GCF(38415,38435) = 5
LCM(38415,38435) = ( 38415 × 38435) / 5
LCM(38415,38435) = 1476480525 / 5
LCM(38415,38435) = 295296105

Least Common Multiple (LCM) of 38415 and 38435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38415 and 38435. First we will calculate the prime factors of 38415 and 38435.

Prime Factorization of 38415

Prime Factorization of 38435

Now multiplying the highest exponent prime factors to calculate the LCM of 38415 and 38435.

LCM(38415,38435) = 3¹ × 5¹ × 13¹ × 197¹ × 7687¹
LCM(38415,38435) = 295296105