What is the Least Common Multiple of 74938 and 74954?

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 74938 and 74954 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74938 and 74954, than apply into the LCM equation.

GCF(74938,74954) = 2
LCM(74938,74954) = ( 74938 × 74954) / 2
LCM(74938,74954) = 5616902852 / 2
LCM(74938,74954) = 2808451426

Least Common Multiple (LCM) of 74938 and 74954 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74938 and 74954. First we will calculate the prime factors of 74938 and 74954.

Prime Factorization of 74938

Prime Factorization of 74954

Now multiplying the highest exponent prime factors to calculate the LCM of 74938 and 74954.

LCM(74938,74954) = 2¹ × 89¹ × 421¹ × 11¹ × 3407¹
LCM(74938,74954) = 2808451426