What is the Least Common Multiple of 64722 and 64741?
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 64722 and 64741 is 4190167002.
LCM(64722,64741) = 4190167002
Least Common Multiple of 64722 and 64741 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64722 and 64741, than apply into the LCM equation.
GCF(64722,64741) = 1
LCM(64722,64741) = ( 64722 × 64741) / 1
LCM(64722,64741) = 4190167002 / 1
LCM(64722,64741) = 4190167002
Least Common Multiple (LCM) of 64722 and 64741 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64722 and 64741. First we will calculate the prime factors of 64722 and 64741.
Prime Factorization of 64722
Prime factors of 64722 are 2, 3, 7, 23, 67. Prime factorization of 64722 in exponential form is:
64722 = 21 × 31 × 71 × 231 × 671
Prime Factorization of 64741
Prime factors of 64741 are 101, 641. Prime factorization of 64741 in exponential form is:
64741 = 1011 × 6411
Now multiplying the highest exponent prime factors to calculate the LCM of 64722 and 64741.
LCM(64722,64741) = 21 × 31 × 71 × 231 × 671 × 1011 × 6411
LCM(64722,64741) = 4190167002
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