What is the Least Common Multiple of 7814 and 7820?

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 7814 and 7820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7814 and 7820, than apply into the LCM equation.

GCF(7814,7820) = 2
LCM(7814,7820) = ( 7814 × 7820) / 2
LCM(7814,7820) = 61105480 / 2
LCM(7814,7820) = 30552740

Least Common Multiple (LCM) of 7814 and 7820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7814 and 7820. First we will calculate the prime factors of 7814 and 7820.

Prime Factorization of 7814

Prime Factorization of 7820

Now multiplying the highest exponent prime factors to calculate the LCM of 7814 and 7820.

LCM(7814,7820) = 2² × 3907¹ × 5¹ × 17¹ × 23¹
LCM(7814,7820) = 30552740