What is the Least Common Multiple of 63937 and 63948?
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 63937 and 63948 is 4088643276.
LCM(63937,63948) = 4088643276
Least Common Multiple of 63937 and 63948 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63937 and 63948, than apply into the LCM equation.
GCF(63937,63948) = 1
LCM(63937,63948) = ( 63937 × 63948) / 1
LCM(63937,63948) = 4088643276 / 1
LCM(63937,63948) = 4088643276
Least Common Multiple (LCM) of 63937 and 63948 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63937 and 63948. First we will calculate the prime factors of 63937 and 63948.
Prime Factorization of 63937
Prime factors of 63937 are 17, 3761. Prime factorization of 63937 in exponential form is:
63937 = 171 × 37611
Prime Factorization of 63948
Prime factors of 63948 are 2, 3, 73. Prime factorization of 63948 in exponential form is:
63948 = 22 × 31 × 732
Now multiplying the highest exponent prime factors to calculate the LCM of 63937 and 63948.
LCM(63937,63948) = 171 × 37611 × 22 × 31 × 732
LCM(63937,63948) = 4088643276
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