What is the Least Common Multiple of 47515 and 47534?

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 47515 and 47534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47515 and 47534, than apply into the LCM equation.

GCF(47515,47534) = 1
LCM(47515,47534) = ( 47515 × 47534) / 1
LCM(47515,47534) = 2258578010 / 1
LCM(47515,47534) = 2258578010

Least Common Multiple (LCM) of 47515 and 47534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47515 and 47534. First we will calculate the prime factors of 47515 and 47534.

Prime Factorization of 47515

Prime Factorization of 47534

Now multiplying the highest exponent prime factors to calculate the LCM of 47515 and 47534.

LCM(47515,47534) = 5¹ × 13¹ × 17¹ × 43¹ × 2¹ × 23767¹
LCM(47515,47534) = 2258578010