What is the Least Common Multiple of 65091 and 65109?

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 65091 and 65109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65091 and 65109, than apply into the LCM equation.

GCF(65091,65109) = 3
LCM(65091,65109) = ( 65091 × 65109) / 3
LCM(65091,65109) = 4238009919 / 3
LCM(65091,65109) = 1412669973

Least Common Multiple (LCM) of 65091 and 65109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65091 and 65109. First we will calculate the prime factors of 65091 and 65109.

Prime Factorization of 65091

Prime Factorization of 65109

Now multiplying the highest exponent prime factors to calculate the LCM of 65091 and 65109.

LCM(65091,65109) = 3¹ × 13¹ × 1669¹ × 11¹ × 1973¹
LCM(65091,65109) = 1412669973