What is the Least Common Multiple of 74013 and 74019?

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 74013 and 74019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74013 and 74019, than apply into the LCM equation.

GCF(74013,74019) = 3
LCM(74013,74019) = ( 74013 × 74019) / 3
LCM(74013,74019) = 5478368247 / 3
LCM(74013,74019) = 1826122749

Least Common Multiple (LCM) of 74013 and 74019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74013 and 74019. First we will calculate the prime factors of 74013 and 74019.

Prime Factorization of 74013

Prime Factorization of 74019

Now multiplying the highest exponent prime factors to calculate the LCM of 74013 and 74019.

LCM(74013,74019) = 3¹ × 24671¹ × 11¹ × 2243¹
LCM(74013,74019) = 1826122749