What is the Least Common Multiple of 63959 and 63967?
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 63959 and 63967 is 4091265353.
LCM(63959,63967) = 4091265353
Least Common Multiple of 63959 and 63967 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63959 and 63967, than apply into the LCM equation.
GCF(63959,63967) = 1
LCM(63959,63967) = ( 63959 × 63967) / 1
LCM(63959,63967) = 4091265353 / 1
LCM(63959,63967) = 4091265353
Least Common Multiple (LCM) of 63959 and 63967 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63959 and 63967. First we will calculate the prime factors of 63959 and 63967.
Prime Factorization of 63959
Prime factors of 63959 are 7, 9137. Prime factorization of 63959 in exponential form is:
63959 = 71 × 91371
Prime Factorization of 63967
Prime factors of 63967 are 47, 1361. Prime factorization of 63967 in exponential form is:
63967 = 471 × 13611
Now multiplying the highest exponent prime factors to calculate the LCM of 63959 and 63967.
LCM(63959,63967) = 71 × 91371 × 471 × 13611
LCM(63959,63967) = 4091265353
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