What is the Least Common Multiple of 36835 and 36852?
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 36835 and 36852 is 1357443420.
LCM(36835,36852) = 1357443420
Least Common Multiple of 36835 and 36852 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36835 and 36852, than apply into the LCM equation.
GCF(36835,36852) = 1
LCM(36835,36852) = ( 36835 × 36852) / 1
LCM(36835,36852) = 1357443420 / 1
LCM(36835,36852) = 1357443420
Least Common Multiple (LCM) of 36835 and 36852 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36835 and 36852. First we will calculate the prime factors of 36835 and 36852.
Prime Factorization of 36835
Prime factors of 36835 are 5, 53, 139. Prime factorization of 36835 in exponential form is:
36835 = 51 × 531 × 1391
Prime Factorization of 36852
Prime factors of 36852 are 2, 3, 37, 83. Prime factorization of 36852 in exponential form is:
36852 = 22 × 31 × 371 × 831
Now multiplying the highest exponent prime factors to calculate the LCM of 36835 and 36852.
LCM(36835,36852) = 51 × 531 × 1391 × 22 × 31 × 371 × 831
LCM(36835,36852) = 1357443420
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