What is the Least Common Multiple of 62468 and 62488?
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 62468 and 62488 is 975875096.
LCM(62468,62488) = 975875096
Least Common Multiple of 62468 and 62488 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62468 and 62488, than apply into the LCM equation.
GCF(62468,62488) = 4
LCM(62468,62488) = ( 62468 × 62488) / 4
LCM(62468,62488) = 3903500384 / 4
LCM(62468,62488) = 975875096
Least Common Multiple (LCM) of 62468 and 62488 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 62468 and 62488. First we will calculate the prime factors of 62468 and 62488.
Prime Factorization of 62468
Prime factors of 62468 are 2, 7, 23, 97. Prime factorization of 62468 in exponential form is:
62468 = 22 × 71 × 231 × 971
Prime Factorization of 62488
Prime factors of 62488 are 2, 73, 107. Prime factorization of 62488 in exponential form is:
62488 = 23 × 731 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 62468 and 62488.
LCM(62468,62488) = 23 × 71 × 231 × 971 × 731 × 1071
LCM(62468,62488) = 975875096
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