What is the Least Common Multiple of 3478 and 3495?

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 3478 and 3495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3478 and 3495, than apply into the LCM equation.

GCF(3478,3495) = 1
LCM(3478,3495) = ( 3478 × 3495) / 1
LCM(3478,3495) = 12155610 / 1
LCM(3478,3495) = 12155610

Least Common Multiple (LCM) of 3478 and 3495 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3478 and 3495. First we will calculate the prime factors of 3478 and 3495.

Prime Factorization of 3478

Prime Factorization of 3495

Now multiplying the highest exponent prime factors to calculate the LCM of 3478 and 3495.

LCM(3478,3495) = 2¹ × 37¹ × 47¹ × 3¹ × 5¹ × 233¹
LCM(3478,3495) = 12155610