What is the Least Common Multiple of 43138 and 43153?

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 43138 and 43153 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43138 and 43153, than apply into the LCM equation.

GCF(43138,43153) = 1
LCM(43138,43153) = ( 43138 × 43153) / 1
LCM(43138,43153) = 1861534114 / 1
LCM(43138,43153) = 1861534114

Least Common Multiple (LCM) of 43138 and 43153 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43138 and 43153. First we will calculate the prime factors of 43138 and 43153.

Prime Factorization of 43138

Prime Factorization of 43153

Now multiplying the highest exponent prime factors to calculate the LCM of 43138 and 43153.

LCM(43138,43153) = 2¹ × 21569¹ × 11¹ × 3923¹
LCM(43138,43153) = 1861534114