What is the Least Common Multiple of 34905 and 34921?

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 34905 and 34921 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34905 and 34921, than apply into the LCM equation.

GCF(34905,34921) = 1
LCM(34905,34921) = ( 34905 × 34921) / 1
LCM(34905,34921) = 1218917505 / 1
LCM(34905,34921) = 1218917505

Least Common Multiple (LCM) of 34905 and 34921 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34905 and 34921. First we will calculate the prime factors of 34905 and 34921.

Prime Factorization of 34905

Prime Factorization of 34921

Now multiplying the highest exponent prime factors to calculate the LCM of 34905 and 34921.

LCM(34905,34921) = 3¹ × 5¹ × 13¹ × 179¹ × 47¹ × 743¹
LCM(34905,34921) = 1218917505