What is the Least Common Multiple of 56648 and 56668?
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 56648 and 56668 is 802532216.
LCM(56648,56668) = 802532216
Least Common Multiple of 56648 and 56668 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56648 and 56668, than apply into the LCM equation.
GCF(56648,56668) = 4
LCM(56648,56668) = ( 56648 × 56668) / 4
LCM(56648,56668) = 3210128864 / 4
LCM(56648,56668) = 802532216
Least Common Multiple (LCM) of 56648 and 56668 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 56648 and 56668. First we will calculate the prime factors of 56648 and 56668.
Prime Factorization of 56648
Prime factors of 56648 are 2, 73, 97. Prime factorization of 56648 in exponential form is:
56648 = 23 × 731 × 971
Prime Factorization of 56668
Prime factors of 56668 are 2, 31, 457. Prime factorization of 56668 in exponential form is:
56668 = 22 × 311 × 4571
Now multiplying the highest exponent prime factors to calculate the LCM of 56648 and 56668.
LCM(56648,56668) = 23 × 731 × 971 × 311 × 4571
LCM(56648,56668) = 802532216
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