What is the Least Common Multiple of 36722 and 36727?
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 36722 and 36727 is 1348688894.
LCM(36722,36727) = 1348688894
Least Common Multiple of 36722 and 36727 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36722 and 36727, than apply into the LCM equation.
GCF(36722,36727) = 1
LCM(36722,36727) = ( 36722 × 36727) / 1
LCM(36722,36727) = 1348688894 / 1
LCM(36722,36727) = 1348688894
Least Common Multiple (LCM) of 36722 and 36727 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36722 and 36727. First we will calculate the prime factors of 36722 and 36727.
Prime Factorization of 36722
Prime factors of 36722 are 2, 7, 43, 61. Prime factorization of 36722 in exponential form is:
36722 = 21 × 71 × 431 × 611
Prime Factorization of 36727
Prime factors of 36727 are 19, 1933. Prime factorization of 36727 in exponential form is:
36727 = 191 × 19331
Now multiplying the highest exponent prime factors to calculate the LCM of 36722 and 36727.
LCM(36722,36727) = 21 × 71 × 431 × 611 × 191 × 19331
LCM(36722,36727) = 1348688894
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