What is the Least Common Multiple of 64922 and 64931?
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 64922 and 64931 is 4215450382.
LCM(64922,64931) = 4215450382
Least Common Multiple of 64922 and 64931 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64922 and 64931, than apply into the LCM equation.
GCF(64922,64931) = 1
LCM(64922,64931) = ( 64922 × 64931) / 1
LCM(64922,64931) = 4215450382 / 1
LCM(64922,64931) = 4215450382
Least Common Multiple (LCM) of 64922 and 64931 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 64922 and 64931. First we will calculate the prime factors of 64922 and 64931.
Prime Factorization of 64922
Prime factors of 64922 are 2, 11, 13, 227. Prime factorization of 64922 in exponential form is:
64922 = 21 × 111 × 131 × 2271
Prime Factorization of 64931
Prime factors of 64931 are 29, 2239. Prime factorization of 64931 in exponential form is:
64931 = 291 × 22391
Now multiplying the highest exponent prime factors to calculate the LCM of 64922 and 64931.
LCM(64922,64931) = 21 × 111 × 131 × 2271 × 291 × 22391
LCM(64922,64931) = 4215450382
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