What is the Least Common Multiple of 62718 and 62722?
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 62718 and 62722 is 1966899198.
LCM(62718,62722) = 1966899198
Least Common Multiple of 62718 and 62722 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62718 and 62722, than apply into the LCM equation.
GCF(62718,62722) = 2
LCM(62718,62722) = ( 62718 × 62722) / 2
LCM(62718,62722) = 3933798396 / 2
LCM(62718,62722) = 1966899198
Least Common Multiple (LCM) of 62718 and 62722 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62718 and 62722. First we will calculate the prime factors of 62718 and 62722.
Prime Factorization of 62718
Prime factors of 62718 are 2, 3, 10453. Prime factorization of 62718 in exponential form is:
62718 = 21 × 31 × 104531
Prime Factorization of 62722
Prime factors of 62722 are 2, 11, 2851. Prime factorization of 62722 in exponential form is:
62722 = 21 × 111 × 28511
Now multiplying the highest exponent prime factors to calculate the LCM of 62718 and 62722.
LCM(62718,62722) = 21 × 31 × 104531 × 111 × 28511
LCM(62718,62722) = 1966899198
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