What is the Least Common Multiple of 26114 and 26119?

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 26114 and 26119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26114 and 26119, than apply into the LCM equation.

GCF(26114,26119) = 1
LCM(26114,26119) = ( 26114 × 26119) / 1
LCM(26114,26119) = 682071566 / 1
LCM(26114,26119) = 682071566

Least Common Multiple (LCM) of 26114 and 26119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26114 and 26119. First we will calculate the prime factors of 26114 and 26119.

Prime Factorization of 26114

Prime Factorization of 26119

Now multiplying the highest exponent prime factors to calculate the LCM of 26114 and 26119.

LCM(26114,26119) = 2¹ × 11¹ × 1187¹ × 26119¹
LCM(26114,26119) = 682071566