What is the Least Common Multiple of 63091 and 63098?
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 63091 and 63098 is 568702274.
LCM(63091,63098) = 568702274
Least Common Multiple of 63091 and 63098 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63091 and 63098, than apply into the LCM equation.
GCF(63091,63098) = 7
LCM(63091,63098) = ( 63091 × 63098) / 7
LCM(63091,63098) = 3980915918 / 7
LCM(63091,63098) = 568702274
Least Common Multiple (LCM) of 63091 and 63098 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 63091 and 63098. First we will calculate the prime factors of 63091 and 63098.
Prime Factorization of 63091
Prime factors of 63091 are 7, 9013. Prime factorization of 63091 in exponential form is:
63091 = 71 × 90131
Prime Factorization of 63098
Prime factors of 63098 are 2, 7, 4507. Prime factorization of 63098 in exponential form is:
63098 = 21 × 71 × 45071
Now multiplying the highest exponent prime factors to calculate the LCM of 63091 and 63098.
LCM(63091,63098) = 71 × 90131 × 21 × 45071
LCM(63091,63098) = 568702274
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