What is the Least Common Multiple of 64781 and 64801?
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 64781 and 64801 is 4197873581.
LCM(64781,64801) = 4197873581
Least Common Multiple of 64781 and 64801 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64781 and 64801, than apply into the LCM equation.
GCF(64781,64801) = 1
LCM(64781,64801) = ( 64781 × 64801) / 1
LCM(64781,64801) = 4197873581 / 1
LCM(64781,64801) = 4197873581
Least Common Multiple (LCM) of 64781 and 64801 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64781 and 64801. First we will calculate the prime factors of 64781 and 64801.
Prime Factorization of 64781
Prime factors of 64781 are 64781. Prime factorization of 64781 in exponential form is:
64781 = 647811
Prime Factorization of 64801
Prime factors of 64801 are 11, 43, 137. Prime factorization of 64801 in exponential form is:
64801 = 111 × 431 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 64781 and 64801.
LCM(64781,64801) = 647811 × 111 × 431 × 1371
LCM(64781,64801) = 4197873581
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