What is the Least Common Multiple of 10902 and 10907?

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 10902 and 10907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10902 and 10907, than apply into the LCM equation.

GCF(10902,10907) = 1
LCM(10902,10907) = ( 10902 × 10907) / 1
LCM(10902,10907) = 118908114 / 1
LCM(10902,10907) = 118908114

Least Common Multiple (LCM) of 10902 and 10907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10902 and 10907. First we will calculate the prime factors of 10902 and 10907.

Prime Factorization of 10902

Prime Factorization of 10907

Now multiplying the highest exponent prime factors to calculate the LCM of 10902 and 10907.

LCM(10902,10907) = 2¹ × 3¹ × 23¹ × 79¹ × 13¹ × 839¹
LCM(10902,10907) = 118908114