What is the Least Common Multiple of 51090 and 51109?

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 51090 and 51109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51090 and 51109, than apply into the LCM equation.

GCF(51090,51109) = 1
LCM(51090,51109) = ( 51090 × 51109) / 1
LCM(51090,51109) = 2611158810 / 1
LCM(51090,51109) = 2611158810

Least Common Multiple (LCM) of 51090 and 51109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51090 and 51109. First we will calculate the prime factors of 51090 and 51109.

Prime Factorization of 51090

Prime Factorization of 51109

Now multiplying the highest exponent prime factors to calculate the LCM of 51090 and 51109.

LCM(51090,51109) = 2¹ × 3¹ × 5¹ × 13¹ × 131¹ × 51109¹
LCM(51090,51109) = 2611158810