What is the Least Common Multiple of 62722 and 62737?
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 62722 and 62737 is 3934990114.
LCM(62722,62737) = 3934990114
Least Common Multiple of 62722 and 62737 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62722 and 62737, than apply into the LCM equation.
GCF(62722,62737) = 1
LCM(62722,62737) = ( 62722 × 62737) / 1
LCM(62722,62737) = 3934990114 / 1
LCM(62722,62737) = 3934990114
Least Common Multiple (LCM) of 62722 and 62737 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62722 and 62737. First we will calculate the prime factors of 62722 and 62737.
Prime Factorization of 62722
Prime factors of 62722 are 2, 11, 2851. Prime factorization of 62722 in exponential form is:
62722 = 21 × 111 × 28511
Prime Factorization of 62737
Prime factors of 62737 are 43, 1459. Prime factorization of 62737 in exponential form is:
62737 = 431 × 14591
Now multiplying the highest exponent prime factors to calculate the LCM of 62722 and 62737.
LCM(62722,62737) = 21 × 111 × 28511 × 431 × 14591
LCM(62722,62737) = 3934990114
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