What is the Least Common Multiple of 78415 and 78434?

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 78434 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 78434, than apply into the LCM equation.

GCF(78415,78434) = 1
LCM(78415,78434) = ( 78415 × 78434) / 1
LCM(78415,78434) = 6150402110 / 1
LCM(78415,78434) = 6150402110

Least Common Multiple (LCM) of 78415 and 78434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78415 and 78434. First we will calculate the prime factors of 78415 and 78434.

Prime Factorization of 78415

Prime Factorization of 78434

Now multiplying the highest exponent prime factors to calculate the LCM of 78415 and 78434.

LCM(78415,78434) = 5¹ × 15683¹ × 2¹ × 39217¹
LCM(78415,78434) = 6150402110