What is the Least Common Multiple of 36498 and 36518?
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 36498 and 36518 is 666416982.
LCM(36498,36518) = 666416982
Least Common Multiple of 36498 and 36518 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36498 and 36518, than apply into the LCM equation.
GCF(36498,36518) = 2
LCM(36498,36518) = ( 36498 × 36518) / 2
LCM(36498,36518) = 1332833964 / 2
LCM(36498,36518) = 666416982
Least Common Multiple (LCM) of 36498 and 36518 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 36498 and 36518. First we will calculate the prime factors of 36498 and 36518.
Prime Factorization of 36498
Prime factors of 36498 are 2, 3, 7, 11, 79. Prime factorization of 36498 in exponential form is:
36498 = 21 × 31 × 71 × 111 × 791
Prime Factorization of 36518
Prime factors of 36518 are 2, 19, 31. Prime factorization of 36518 in exponential form is:
36518 = 21 × 191 × 312
Now multiplying the highest exponent prime factors to calculate the LCM of 36498 and 36518.
LCM(36498,36518) = 21 × 31 × 71 × 111 × 791 × 191 × 312
LCM(36498,36518) = 666416982
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