What is the Least Common Multiple of 78415 and 78435?

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 78415 and 78435 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78415 and 78435, than apply into the LCM equation.

GCF(78415,78435) = 5
LCM(78415,78435) = ( 78415 × 78435) / 5
LCM(78415,78435) = 6150480525 / 5
LCM(78415,78435) = 1230096105

Least Common Multiple (LCM) of 78415 and 78435 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78415 and 78435. First we will calculate the prime factors of 78415 and 78435.

Prime Factorization of 78415

Prime Factorization of 78435

Now multiplying the highest exponent prime factors to calculate the LCM of 78415 and 78435.

LCM(78415,78435) = 5¹ × 15683¹ × 3³ × 7¹ × 83¹
LCM(78415,78435) = 1230096105