What is the Least Common Multiple of 68740 and 68754?

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 68740 and 68754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68740 and 68754, than apply into the LCM equation.

GCF(68740,68754) = 14
LCM(68740,68754) = ( 68740 × 68754) / 14
LCM(68740,68754) = 4726149960 / 14
LCM(68740,68754) = 337582140

Least Common Multiple (LCM) of 68740 and 68754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68740 and 68754. First we will calculate the prime factors of 68740 and 68754.

Prime Factorization of 68740

Prime Factorization of 68754

Now multiplying the highest exponent prime factors to calculate the LCM of 68740 and 68754.

LCM(68740,68754) = 2² × 5¹ × 7¹ × 491¹ × 3¹ × 1637¹
LCM(68740,68754) = 337582140