What is the Least Common Multiple of 68360 and 68380?

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 68360 and 68380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68360 and 68380, than apply into the LCM equation.

GCF(68360,68380) = 20
LCM(68360,68380) = ( 68360 × 68380) / 20
LCM(68360,68380) = 4674456800 / 20
LCM(68360,68380) = 233722840

Least Common Multiple (LCM) of 68360 and 68380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68360 and 68380. First we will calculate the prime factors of 68360 and 68380.

Prime Factorization of 68360

Prime Factorization of 68380

Now multiplying the highest exponent prime factors to calculate the LCM of 68360 and 68380.

LCM(68360,68380) = 2³ × 5¹ × 1709¹ × 13¹ × 263¹
LCM(68360,68380) = 233722840