What is the Least Common Multiple of 62668 and 62673?
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 62668 and 62673 is 3927591564.
LCM(62668,62673) = 3927591564
Least Common Multiple of 62668 and 62673 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62668 and 62673, than apply into the LCM equation.
GCF(62668,62673) = 1
LCM(62668,62673) = ( 62668 × 62673) / 1
LCM(62668,62673) = 3927591564 / 1
LCM(62668,62673) = 3927591564
Least Common Multiple (LCM) of 62668 and 62673 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62668 and 62673. First we will calculate the prime factors of 62668 and 62673.
Prime Factorization of 62668
Prime factors of 62668 are 2, 15667. Prime factorization of 62668 in exponential form is:
62668 = 22 × 156671
Prime Factorization of 62673
Prime factors of 62673 are 3, 13, 1607. Prime factorization of 62673 in exponential form is:
62673 = 31 × 131 × 16071
Now multiplying the highest exponent prime factors to calculate the LCM of 62668 and 62673.
LCM(62668,62673) = 22 × 156671 × 31 × 131 × 16071
LCM(62668,62673) = 3927591564
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