What is the Least Common Multiple of 30954 and 30969?

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 30954 and 30969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30954 and 30969, than apply into the LCM equation.

GCF(30954,30969) = 3
LCM(30954,30969) = ( 30954 × 30969) / 3
LCM(30954,30969) = 958614426 / 3
LCM(30954,30969) = 319538142

Least Common Multiple (LCM) of 30954 and 30969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30954 and 30969. First we will calculate the prime factors of 30954 and 30969.

Prime Factorization of 30954

Prime Factorization of 30969

Now multiplying the highest exponent prime factors to calculate the LCM of 30954 and 30969.

LCM(30954,30969) = 2¹ × 3³ × 7¹ × 11¹ × 67¹ × 31¹ × 37¹
LCM(30954,30969) = 319538142