What is the Least Common Multiple of 68460 and 68474?

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 68460 and 68474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68460 and 68474, than apply into the LCM equation.

GCF(68460,68474) = 14
LCM(68460,68474) = ( 68460 × 68474) / 14
LCM(68460,68474) = 4687730040 / 14
LCM(68460,68474) = 334837860

Least Common Multiple (LCM) of 68460 and 68474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68460 and 68474. First we will calculate the prime factors of 68460 and 68474.

Prime Factorization of 68460

Prime Factorization of 68474

Now multiplying the highest exponent prime factors to calculate the LCM of 68460 and 68474.

LCM(68460,68474) = 2² × 3¹ × 5¹ × 7¹ × 163¹ × 67¹ × 73¹
LCM(68460,68474) = 334837860