What is the Least Common Multiple of 45140 and 45154?

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 45140 and 45154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45140 and 45154, than apply into the LCM equation.

GCF(45140,45154) = 2
LCM(45140,45154) = ( 45140 × 45154) / 2
LCM(45140,45154) = 2038251560 / 2
LCM(45140,45154) = 1019125780

Least Common Multiple (LCM) of 45140 and 45154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45140 and 45154. First we will calculate the prime factors of 45140 and 45154.

Prime Factorization of 45140

Prime Factorization of 45154

Now multiplying the highest exponent prime factors to calculate the LCM of 45140 and 45154.

LCM(45140,45154) = 2² × 5¹ × 37¹ × 61¹ × 107¹ × 211¹
LCM(45140,45154) = 1019125780