What is the Least Common Multiple of 61120 and 61140?

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 61120 and 61140 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61120 and 61140, than apply into the LCM equation.

GCF(61120,61140) = 20
LCM(61120,61140) = ( 61120 × 61140) / 20
LCM(61120,61140) = 3736876800 / 20
LCM(61120,61140) = 186843840

Least Common Multiple (LCM) of 61120 and 61140 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61120 and 61140. First we will calculate the prime factors of 61120 and 61140.

Prime Factorization of 61120

Prime Factorization of 61140

Now multiplying the highest exponent prime factors to calculate the LCM of 61120 and 61140.

LCM(61120,61140) = 2⁶ × 5¹ × 191¹ × 3¹ × 1019¹
LCM(61120,61140) = 186843840