What is the Least Common Multiple of 37814 and 37824?

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 37814 and 37824 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37814 and 37824, than apply into the LCM equation.

GCF(37814,37824) = 2
LCM(37814,37824) = ( 37814 × 37824) / 2
LCM(37814,37824) = 1430276736 / 2
LCM(37814,37824) = 715138368

Least Common Multiple (LCM) of 37814 and 37824 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37814 and 37824. First we will calculate the prime factors of 37814 and 37824.

Prime Factorization of 37814

Prime Factorization of 37824

Now multiplying the highest exponent prime factors to calculate the LCM of 37814 and 37824.

LCM(37814,37824) = 2⁶ × 7¹ × 37¹ × 73¹ × 3¹ × 197¹
LCM(37814,37824) = 715138368