What is the Least Common Multiple of 37458 and 37463?

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 37458 and 37463 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37458 and 37463, than apply into the LCM equation.

GCF(37458,37463) = 1
LCM(37458,37463) = ( 37458 × 37463) / 1
LCM(37458,37463) = 1403289054 / 1
LCM(37458,37463) = 1403289054

Least Common Multiple (LCM) of 37458 and 37463 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37458 and 37463. First we will calculate the prime factors of 37458 and 37463.

Prime Factorization of 37458

Prime Factorization of 37463

Now multiplying the highest exponent prime factors to calculate the LCM of 37458 and 37463.

LCM(37458,37463) = 2¹ × 3² × 2081¹ × 37463¹
LCM(37458,37463) = 1403289054