What is the Least Common Multiple of 53064 and 53074?

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 53064 and 53074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53064 and 53074, than apply into the LCM equation.

GCF(53064,53074) = 2
LCM(53064,53074) = ( 53064 × 53074) / 2
LCM(53064,53074) = 2816318736 / 2
LCM(53064,53074) = 1408159368

Least Common Multiple (LCM) of 53064 and 53074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53064 and 53074. First we will calculate the prime factors of 53064 and 53074.

Prime Factorization of 53064

Prime Factorization of 53074

Now multiplying the highest exponent prime factors to calculate the LCM of 53064 and 53074.

LCM(53064,53074) = 2³ × 3² × 11¹ × 67¹ × 7¹ × 17¹ × 223¹
LCM(53064,53074) = 1408159368