What is the Least Common Multiple of 74004 and 74013?

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 74004 and 74013 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74004 and 74013, than apply into the LCM equation.

GCF(74004,74013) = 3
LCM(74004,74013) = ( 74004 × 74013) / 3
LCM(74004,74013) = 5477258052 / 3
LCM(74004,74013) = 1825752684

Least Common Multiple (LCM) of 74004 and 74013 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74004 and 74013. First we will calculate the prime factors of 74004 and 74013.

Prime Factorization of 74004

Prime Factorization of 74013

Now multiplying the highest exponent prime factors to calculate the LCM of 74004 and 74013.

LCM(74004,74013) = 2² × 3¹ × 7¹ × 881¹ × 24671¹
LCM(74004,74013) = 1825752684