What is the Least Common Multiple of 91130 and 91138?

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 91130 and 91138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91130 and 91138, than apply into the LCM equation.

GCF(91130,91138) = 2
LCM(91130,91138) = ( 91130 × 91138) / 2
LCM(91130,91138) = 8305405940 / 2
LCM(91130,91138) = 4152702970

Least Common Multiple (LCM) of 91130 and 91138 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91130 and 91138. First we will calculate the prime factors of 91130 and 91138.

Prime Factorization of 91130

Prime Factorization of 91138

Now multiplying the highest exponent prime factors to calculate the LCM of 91130 and 91138.

LCM(91130,91138) = 2¹ × 5¹ × 13¹ × 701¹ × 45569¹
LCM(91130,91138) = 4152702970