What is the Least Common Multiple of 62619 and 62630?
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 (LCM) of 62619 and 62630 is 3921827970.
LCM(62619,62630) = 3921827970
Least Common Multiple of 62619 and 62630 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62619 and 62630, than apply into the LCM equation.
GCF(62619,62630) = 1
LCM(62619,62630) = ( 62619 × 62630) / 1
LCM(62619,62630) = 3921827970 / 1
LCM(62619,62630) = 3921827970
Least Common Multiple (LCM) of 62619 and 62630 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62619 and 62630. First we will calculate the prime factors of 62619 and 62630.
Prime Factorization of 62619
Prime factors of 62619 are 3, 20873. Prime factorization of 62619 in exponential form is:
62619 = 31 × 208731
Prime Factorization of 62630
Prime factors of 62630 are 2, 5, 6263. Prime factorization of 62630 in exponential form is:
62630 = 21 × 51 × 62631
Now multiplying the highest exponent prime factors to calculate the LCM of 62619 and 62630.
LCM(62619,62630) = 31 × 208731 × 21 × 51 × 62631
LCM(62619,62630) = 3921827970
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