What is the Least Common Multiple of 62074 and 62079?
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 62074 and 62079 is 3853491846.
LCM(62074,62079) = 3853491846
Least Common Multiple of 62074 and 62079 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62074 and 62079, than apply into the LCM equation.
GCF(62074,62079) = 1
LCM(62074,62079) = ( 62074 × 62079) / 1
LCM(62074,62079) = 3853491846 / 1
LCM(62074,62079) = 3853491846
Least Common Multiple (LCM) of 62074 and 62079 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62074 and 62079. First we will calculate the prime factors of 62074 and 62079.
Prime Factorization of 62074
Prime factors of 62074 are 2, 41, 757. Prime factorization of 62074 in exponential form is:
62074 = 21 × 411 × 7571
Prime Factorization of 62079
Prime factors of 62079 are 3, 20693. Prime factorization of 62079 in exponential form is:
62079 = 31 × 206931
Now multiplying the highest exponent prime factors to calculate the LCM of 62074 and 62079.
LCM(62074,62079) = 21 × 411 × 7571 × 31 × 206931
LCM(62074,62079) = 3853491846
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