What is the Least Common Multiple of 64824 and 64834?
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 64824 and 64834 is 2101399608.
LCM(64824,64834) = 2101399608
Least Common Multiple of 64824 and 64834 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64824 and 64834, than apply into the LCM equation.
GCF(64824,64834) = 2
LCM(64824,64834) = ( 64824 × 64834) / 2
LCM(64824,64834) = 4202799216 / 2
LCM(64824,64834) = 2101399608
Least Common Multiple (LCM) of 64824 and 64834 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64824 and 64834. First we will calculate the prime factors of 64824 and 64834.
Prime Factorization of 64824
Prime factors of 64824 are 2, 3, 37, 73. Prime factorization of 64824 in exponential form is:
64824 = 23 × 31 × 371 × 731
Prime Factorization of 64834
Prime factors of 64834 are 2, 7, 11, 421. Prime factorization of 64834 in exponential form is:
64834 = 21 × 71 × 111 × 4211
Now multiplying the highest exponent prime factors to calculate the LCM of 64824 and 64834.
LCM(64824,64834) = 23 × 31 × 371 × 731 × 71 × 111 × 4211
LCM(64824,64834) = 2101399608
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