What is the Least Common Multiple of 64680 and 64699?
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 64680 and 64699 is 4184731320.
LCM(64680,64699) = 4184731320
Least Common Multiple of 64680 and 64699 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64680 and 64699, than apply into the LCM equation.
GCF(64680,64699) = 1
LCM(64680,64699) = ( 64680 × 64699) / 1
LCM(64680,64699) = 4184731320 / 1
LCM(64680,64699) = 4184731320
Least Common Multiple (LCM) of 64680 and 64699 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64680 and 64699. First we will calculate the prime factors of 64680 and 64699.
Prime Factorization of 64680
Prime factors of 64680 are 2, 3, 5, 7, 11. Prime factorization of 64680 in exponential form is:
64680 = 23 × 31 × 51 × 72 × 111
Prime Factorization of 64699
Prime factors of 64699 are 23, 29, 97. Prime factorization of 64699 in exponential form is:
64699 = 231 × 291 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 64680 and 64699.
LCM(64680,64699) = 23 × 31 × 51 × 72 × 111 × 231 × 291 × 971
LCM(64680,64699) = 4184731320
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