What is the Least Common Multiple of 67478 and 67490?

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 67478 and 67490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67478 and 67490, than apply into the LCM equation.

GCF(67478,67490) = 2
LCM(67478,67490) = ( 67478 × 67490) / 2
LCM(67478,67490) = 4554090220 / 2
LCM(67478,67490) = 2277045110

Least Common Multiple (LCM) of 67478 and 67490 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67478 and 67490. First we will calculate the prime factors of 67478 and 67490.

Prime Factorization of 67478

Prime Factorization of 67490

Now multiplying the highest exponent prime factors to calculate the LCM of 67478 and 67490.

LCM(67478,67490) = 2¹ × 33739¹ × 5¹ × 17¹ × 397¹
LCM(67478,67490) = 2277045110